### BARS::RoadTripAmerica.com Funny Sign from Bellefontaine, Ohio

While in Prescott, Arizona, during Spring Break 2008, RoadHacker took pictures of the "Art for All" mural. RoadTripAmerica.com featured the mural on 29 March 2008. While looking at RTA's write-up on the mural, RoadHacker clicked on the hyperlink for RTA's featured funny sign. The funny sign was a picture of a gas station sign in Bellefontaine, Ohio, but in the background there was a road sign.

The signs say...

```   gas station sign
+----------------+
| Regular  3139  |
| Plus     323   |
+----------------+

road sign (partially blocked by a pole)
+--------------------+
| XXntsville       5 |
| XXssells Point  10 |
| MaXXsville      25 |
+--------------------+
```
```   the numbers are:  313  9  323  9  5  10  25

the math is:  sqrt(sqrt((323 - 313) * 9 - 9)) = (25 - 10) / 5

some fooish math:  (9 / 9) * (323 - 313) = 25 - 10 - 5

more fooish math:  323 - 313 + 9 - 9 = 25 - 10 - 5

the road sign numbers are:  5  10  25

the road sign math is:  10 - 5 = sqrt(25)

--- using functions from MathBabbler's BARS toolkit ---

the gas sign numbers are:  313  9  323  9

observe...
313 is a palindromic prime   [reverse_digits(313) = 313]
multiply_digits(313) = 9     [3 * 1 * 3 = 9]
323 prime factors are 17 and 19
sum_prime_factors(323) = 36  [spf(323) = 17 + 19 = 36]

the numbers become:  9  9  36  9

more math:  sqrt(9) * 9 + 9 = 36

more math:  (9 + sqrt(9)) * sqrt(9) = 36

more math:  sqrt(9) * sqrt(9) - sqrt(9) = sqrt(36)

more math:  9 + 9 / 9 = spf(36)  [sum_prime_factors(36) = 2+2+3+3]

[solve for 'n']  323 - 313 + 9 - n = 25 - 10 - 5
```

We looked at a map and determined that the pole obstructed road sign in Bellefontaine says the following.

```   +--------------------+ +--------------------+
| XXntsville       5 | | Huntsville       5 |
| XXssells Point  10 | | Russells Point  10 |
| MaXXsville      25 | | Marysville      25 |
+--------------------+ +--------------------+

The highway to Marysville is US Hwy-33.
```

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 29 March 2008